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Finding the Fourth Proportional to 8,580.40, 12,870.60 and 7,946.80

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Solution

The fourth proportional to 8,580.40, 12,870.60 and 7,946.80 is: 11,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.40 : 12,870.60 = 7,946.80 : x
  2. Step 2: Convert to fraction form
    8,580.40/12,870.60 = 7,946.80/x
  3. Step 3: Cross multiply
    8,580.40x = 12,870.60 × 7,946.80
  4. Step 4: Simplify right side
    8,580.40x = 102,280,084.08
  5. Step 5: Solve for x
    x = 102,280,084.08/8,580.40
  6. Step 6: Final answer
    x = 11,920.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.